n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 361: | \[361!!!!-1\] | 22 × 1423 × 5003 × 12338808960589<14> × [22057577439615325749631814640603563895340500447545735185376336102338779585002180883683446083074964354224148813519366447631784530540289132890692653173890668722782844178406991<173>] |